Theory and Design for Mechanical Measurements
6th Edition
ISBN: 9781119031703
Author: FIGLIOLA
Publisher: WILEY
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Textbook Question
Chapter 2, Problem 2.25P
A particle executes linear harmonic motion around the point x = 0. At time zero the particle is at the point x = 0 and has a velocity of 5 cm/s. The frequency of the motion is 1 Hz. Determine
(a) the period,
(b) the amplitude of the motion,
(c) the displacement as a function of time, and<
(d) the maximum speed.
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Students have asked these similar questions
A tuning fork is struck, producing a pure
tone as its tines vibrate. The vibrations are modeled by the
function
v(t) = 0.7 sin(880t)
where u(t) is the displacement of the tines in millimeters at
time t seconds.
Find the frequency of the vibration, that is, the number
of times the fork vibrates per second.
3. A particle of mass 20 g is connected to one end of a spring on a frictionless horizontal
surface and moving in a simple harmonic motion about the origin. The displacement given by
x = 2 sin 3t , where x is in meters and time, t is in seconds. The motion starts when t = 0.
(a) , What is the total distance travelled by the particle at time t = 3T/4, where T is
the time period?
(b) Find the kinetic and potential energy of the particle at time t = 3T/4.
* What is the acceleration of the particle when it first comes to a rest?
(c) t
2. A spring (k= 250N/m) with a mass of 0.5 kg attached to it, undergoes a simple harmonic
motion. Find the (a) period, (b) frequency, (c) angular frequency of this oscillator.
Useful formulas:
Frequency
Period
m
T = 2n
f =
|k
Angular frequency of this oscillator
F = kx (Hooke's Law)
w = 2nf
Chapter 2 Solutions
Theory and Design for Mechanical Measurements
Ch. 2 - Prob. 2.1PCh. 2 - Prob. 2.2PCh. 2 - Research and describe the importance of...Ch. 2 - Research and describe the importance of data...Ch. 2 - Determine the average and rms values for the func...Ch. 2 - Prob. 2.6PCh. 2 - Prob. 2.9PCh. 2 - Prob. 2.10PCh. 2 - Prob. 2.11PCh. 2 - Prob. 2.12P
Ch. 2 - Express the function y(t) = 4 sin 2xt + 15 cos...Ch. 2 - Prob. 2.14PCh. 2 - The Fourier series that formed the result for...Ch. 2 - The nth partial sum of a Fourier series is defined...Ch. 2 - For the Fourier series given by where t is time in...Ch. 2 - Determine the Fourier series for the function y(t)...Ch. 2 - Show that y(t) = f2(—jc < t < k), y(t + 2k) = y(t)...Ch. 2 - Find the Fourier series of the function shown in...Ch. 2 - Determine the Fourier series for the function y(t)...Ch. 2 - Determine the Fourier series that represents the...Ch. 2 - Consider the triangle wave shown in Figure 2.26 as...Ch. 2 - Prob. 2.24PCh. 2 - A particle executes linear harmonic motion around...Ch. 2 - Define the following characteristics of signals:...Ch. 2 - Construct an amplitude spectrum plot for the...Ch. 2 - Prob. 2.28PCh. 2 - Sketch representative waveforms of the following...Ch. 2 - Represent the function e(t) = 5 sin 31 At + 2 sin...Ch. 2 - Repeat Problem 2.30 using a data set of 256 num...Ch. 2 - A particular strain sensor is mounted to an...Ch. 2 - Prob. 2.33PCh. 2 - Prob. 2.34PCh. 2 - Consider the upward flow of water and air in a...Ch. 2 - Prob. 2.37PCh. 2 - Prob. 2.38PCh. 2 - For the even-functioned triangle wave signal...Ch. 2 - Prob. 2.40P
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